The spectral fluctuation properties of a quantum system are related closely to the dynamical symmetries of the system and its nonlinearity but not dependent upon number of the degrees of freedom. The energy spectrum of Helium atom is calculated, and by analysing the spectral fluctuations it is found that the residual one pair electron-electron interaction is not sufficient to change the dynamical symmetry of the nucleus-electron central field, eventhough the interaction is amplified artificially to a possible extent (as far as the dissociation of the system does not occur). It turns out that the contour plot of the potential intuitively gives the information about the symmetry of the system, indicates the degree of the symmetry breaking as well as the way how the symmetry is lost.